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Finding the Fourth Proportional to 599.32, 899.34 and 417.16

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Solution

The fourth proportional to 599.32, 899.34 and 417.16 is: 625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.32 : 899.34 = 417.16 : x
  2. Step 2: Convert to fraction form
    599.32/899.34 = 417.16/x
  3. Step 3: Cross multiply
    599.32x = 899.34 × 417.16
  4. Step 4: Simplify right side
    599.32x = 375,168.67
  5. Step 5: Solve for x
    x = 375,168.67/599.32
  6. Step 6: Final answer
    x = 625.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.